package euler.p001_050;

import euler.MainEuler;
import euler.helper.NaturalHelper;

public class Euler020 extends MainEuler {

    /*
        n! means n × (n − 1) × ... × 3 × 2 × 1

        For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800,
        and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.

        Find the sum of the digits in the number 100!

     */

    public String resolve(int limite) {
        return String.valueOf(NaturalHelper.sumaDigital(NaturalHelper.bigFactorial(limite)));
    }

}
